CORE

Design and Analysis of Algorithms

24CST501 · S5 · 4 credits

Official KTU 2024 syllabus subject — study with practice, PYQs and AI tools.

Syllabus

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⚡ DAY-BEFORE EXAM

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PRIORITY A

Module 1

Why:Foundation module

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PRIORITY A

Module 2

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PRIORITY B

Module 3

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PRIORITY B

Module 4

Why:Applied concepts

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PRIORITY C

Module 5

Why:Standard exam coverage

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Modules

Module 01Computational Tractability and Applications of Graph Searchexpand

(8 hours) Review of Asymptotic notations and Order of Growth- upper, lower and tight bounds - properties. Graph Traversal- BFS, DFS. Strongly connected components, Directed Acyclic Graphs and Topological Ordering. Balanced Binary Search trees – AVL tree

Module 02Divide-and-Conquer and Greedy Algorithms (8 hours)expand

Divide-and-conquer - Introduction, Solving Recurrence Equations – Substitution method, Recursion Tree Method, and Master’s Theorem. Karatsuba algorithm for Matrix Multiplication-Analysis. Introduction to the greedy paradigm, Fractional Knapsack Problem, Minimum Cost Spanning Tree Computation- Prim’s and Kruskal’s Algorithms - Analysis, Single Source Shortest Path Algorithm - Dijkstra’s Algorithm-Analysis.

Module 03Dynamic Programming Algorithms (6 hours)expand

The Optimality Principle - Notion of sub problems and optimal substructure. Matrix Chain Multiplication-Analysis. Longest Common Subsequence, Bellman-Ford algorithm for Single Source Shortest Paths with negative weights. Floyd-Warshall Algorithm for All Pairs Shortest Path Algorithm - Analysis.

Module 04Network Flow (7 hours)expand

Flow Networks, The Maximum-Flow Problem and the Ford-Fulkerson Algorithm, Maximum Flows and Minimum Cuts in a Network, Maximum bipartite matching, Max disjoint paths.

Module 05Metaheuristic and Parallel Algorithms (7 hours)expand

Back Tracking – Sum of subsets, The N Queen’s Problem. Branch and Bound – 0/1 Knapsack problem. Randomized Algorithms - Contention Resolution, Randomized Divide and Conquer - Quicksort. Parallel Algorithms - Fork-join parallelism, Parallel matrix multiplication.

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